assume a system has 6 identical resources and N processes competing for them. each process can request at most 2 resources. what is the maximum value of N for the system to be deadlock free
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- Consider a system consisting of m resources of the same type being shared by n processes, n > m. Each process has a maximum need of m/2 resources. Initially, each process has no resource requests. A process can request or release only one resource at a time. With n=3k and m=2k, for some integer k, show that the system is deadlock free.3. Job Scheduling: Consider the problem of scheduling n jobs of known durations t1, t2, ..., tn, for execution by a single processor. The jobs can be executed in any order, one job at a time. You want to find a schedule that minimizes the total time spent by all the jobs in the system. (The time spent by one job in the system is the sum of the time spent by this job in waiting plus the time spent on its execution.) Design a greedy algorithm for this problem. Does the greedy algorithm always yield an optimal solution?An operating system has a total of three user processes, and each of these processes uses a total of two units of the resource R. The total number of units that R is used up by the operating system is twelve. The absolute minimal number of R units that must be used to eliminate the possibility of any deadlocks happening is
- Consider a system consisting of 5 processes, P = {P1, P2, P3, P4, P5} and 3 resources types, R = {R1, R2, R3}. The number of instances for each resource type are 2, 2 and 1 respectively. The state of the system at time, it is described as follow: P1 requests an instance of R2 P2 requests an instance of R1 P3 requests an instance of R2 and holds an instance of R1 and an instance of R3 P4 requests an instance of R3 P5 holds all instances of R2 Assuming that all resources are non-sharable, construct a Resource Allocation Graph to depict the process state.1. Consider a system of 9 processes, P = {p1, ., p9). Associated with the system are 6 memory cells, M = {M1,., M6). The domain and range for each process is given in the following table: Process pi Domain D(pi) Range R(pi) p1 M1, M2 M3 p2 M1 M5 p3 p4 М3, М4 М3, М4 M1 M5 p5 M3 M4 рб M4 M4 p7 M5 M5 p8 МЗ, М4 M2 p9 M5, M6 M6 In addition, you are given the following precedence relation: > = {(P1,P2), (P1,P6), (P2,P3), (P2,P4), (P2,P5),(P3,P6),(P3,P8),(P4,P6), (P4,P7), (P5,P7), (P5,P8), (P6,P8), (P6,P9), (P7,P9), (P8,P9)} a. Construct the Precedence Graph (not containing any redundant edges). Use PowerPoint, diagrams.net, or any other app to draw the graph. b. Determine if the system above is always determinate. If it is not, add to necessary elements to make it determinate. 2. In the first problem, there were 9 processes, many of which were listed as pairs under the precedence relation. Suppose we are dealing with a system of only 5 processes named P1 through P5. You are given a set of…Suppose that an operating system supports two kinds of sequential processes: high-priority interactive processes, and low-priority non-interactive processes. The behavior of the high-priority processes is to alternate between periods of computation of duration Tc and periods of blocking (waiting for input) of duration Tb. The behavior of the low-priority processes is to compute constantly, with no blocking. The operating system’s scheduling policy is round-robin with a quantum q, where Tc < q. Scheduling decisions are made only when a quantum expires, or when the running process blocks. The scheduler selects a low-priority process to run only if no high-priority processes are ready. Suppose there is one high-priority process and one low-priority process in the system, and that both processes will run for a long time. For what fraction of the time does the low-priority process run?
- An operating system has 3 user processes running in a set, each requiring 2 units of resource R. The minimum number of units of R such that no deadlocks will ever arise is:A deadlock occurs when a group of processes is stalled because one process is holding a resource and waiting for another process to obtain it. Consider the situation when two trains are approaching each other on the same track and there is only one track: once they are in front of each other, neither train can proceed. In operating systems, a similar scenario happens when two or more processes possess certain resources while waiting on resources owned by other processes (s). In the picture below, Process 1 is holding Resource 1 and waiting for Process 2 to acquire Resource 2, while Process 2 is waiting for Resource 1. Give an example of a realistic deadlock avoidance approach and describe the basic strategy behind it.Consider a computer system which has four identical units of a resource R. There are three processes each with a maximum claim of two units of resource R. Processes can request these resources in any way that is, two in one shot or one by one. The system always satisfies a request for a resource if enough resources are available. If the processes don't request any other kind of resource, show that the system never deadlocks?
- Hey, I have already received a good answer to this question but I am looking for greater detail to be provided. There are three processes P1, P2 and P3 are running in a system with 3 instances of a resource R1, 2 instances of a resource R2, and 2 instances of a resource R3. At a given time the allocation matrix is: A = [{1, 1, 1} { 0, 1, 0} { 1, 0, 0 }] Assume that the maximum matrix is M = [ {2,2,1} {1,1,1} {3,1,0}] While in this state, a new process P4 is created which requires at most 2 instances of R1 and one instance of R2. This process initially requests one instance of R1 to be allocated to it. Using the Banker’s algorithm, determine whether this request can be granted or must be refused.Suppose you are given n tasks J = {j1, j2, · · · jn}.Each task ji has two parts - a preprocessing phase which takes pi units and a main phase whichtakes fi units of time. There are n machines that can execute the main phases of the jobs in parallel.However, the preprocessing phases need to be executed sequentially on a special machine. Thecompletion time of any schedule is the earliest time when all tasks have finished execution. Designa greedy algorithm which produces a schedule that minimizes the completion time. Here, youneed to give formal proof of correctness. Your proof should not exceed one side of an A4 sheet.Anything more than that will not be considered by the evaluator. Provide only pseudocode.In a timesharing OS we have the following cpu timeline for two tasks X and Y. The timeslice is 1s.Both tasks are available in the system at the same time t=9:00:00.000 and order of arrival is the obviousX followed by Y. (The decimals reflect milliseconds if they showup in an indicated time reference.) There are no other processes (tasks) in the system other than X,Y. 1234567890 XYXYX--YXY The time line 1 indicates that at t=9:00:00s task X starts its execution and when t=9:00:01s is reached task Y takes over. The time line 1 indicates the 'first second' and time line 0 indicates the 'tenth second' above.Task Y completes its execution at t=9:00:10s, the completion of the tenth second since X started its execution. Task X has completed its execution earlier. (a) What is the total number of context switches starting from prior to t=9:00:00s (e.g. t=8:59:59.999) through thecompletion of $Y$? answer is 16s (b) What is the turnaround time for Y? answer is 10s (c) What is…